Base | Representation |
---|---|
bin | 11010101010100… |
… | …11000011000000 |
3 | 120120220110200002 |
4 | 31111103003000 |
5 | 424230434343 |
6 | 34110215132 |
7 | 5354210150 |
oct | 1525230300 |
9 | 516813602 |
10 | 223686848 |
11 | 1052a1270 |
12 | 62ab44a8 |
13 | 3745b8a8 |
14 | 219ca760 |
15 | 149878b8 |
hex | d5530c0 |
223686848 has 112 divisors (see below), whose sum is σ = 582777600. Its totient is φ = 82529280.
The previous prime is 223686847. The next prime is 223686863. The reversal of 223686848 is 848686322.
It is a tau number, because it is divible by the number of its divisors (112).
It is not an unprimeable number, because it can be changed into a prime (223686847) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92438 + ... + 94826.
Almost surely, 2223686848 is an apocalyptic number.
223686848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291388800).
223686848 is an abundant number, since it is smaller than the sum of its proper divisors (359090752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223686848 is a wasteful number, since it uses less digits than its factorization.
223686848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2438 (or 2428 counting only the distinct ones).
The product of its digits is 884736, while the sum is 47.
The square root of 223686848 is about 14956.1642141292. The cubic root of 223686848 is about 607.0346522977.
The spelling of 223686848 in words is "two hundred twenty-three million, six hundred eighty-six thousand, eight hundred forty-eight".
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